**Identify the terms and coefficients :**

A single variable or a constant or a combination of these as a product or quotient forms a term.

Terms can be added or subtracted to form an expression. In the expression 5x + 3 the term 5x is made of 2 factors and 5 and x while 3 is a single factor.

**Coefficient :**

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Let us see some example problems based on the above concept.

**Example 1 :**

Identify the number of terms and coefficient of each term in the expression.

2 x⁵ + 3 x³ - 12 x² + 11 x - 5

**Solution :**

**Terms :**

The given algebraic expression have 5 terms.

Term 1 = 2 x⁵

Term 2 = 3 x³

Term 3 = - 12 x²

Term 4 = 11 x

Term 5 = -5

**Coefficients :**

Coefficient of x⁵ = 2

Coefficient of x³ = 3

Coefficient of x² = -2

Coefficient of x = 11

Constant term = -5

**Example 2 :**

Identify the number of terms and coefficient of each term in the expression.

3x³ + x² - 2

**Solution :**

**Terms :**

The given algebraic expression is having three terms.

Term 1 = 3x³

Term 2 = x² and

Term 3 = -2

**Coefficients :**

Coefficient of x³ = 3

Coefficient of x² = 1

Constant term = -2

**Example 3 :**

Identify the number of terms and coefficient of each term in the expression.

5 x + 10

**Solution :**

**Terms :**

The given algebraic expression is having two terms.

Term 1 = 5 x

Term 2 = 10

**Coefficients :**

Coefficient of x³ = 3

Coefficient of x² = 1

Constant term = -2

**Example 4 :**

Identify the number of terms and coefficient of each term in the expression.

3 xy - 7x

**Solution :**

**Terms :**

The given algebraic expression is having two terms.

Term 1 = 3 xy

Term 2 = - 7x

**Coefficients :**

Coefficient of xy = 3

Coefficient of x = -7

**Example 5 :**

Identify the number of terms and coefficient of each term in the expression.

x/3 - 7y + 8

**Solution :**

**Terms :**

The given algebraic expression is having three terms.

Term 1 = x/3

Term 2 = - 7y

Term 3 = 8

**Coefficients :**

Coefficient of x = 1/3

Coefficient of y = -7

Constant = 8

After having gone through the stuff given above, we hope that the students would have understood "Identify the terms and coefficients".

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